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In the figure below, PQRSTU is a regular hexagon. (a) Describe fully: (i) a reflection that maps triangle SCR onto triangle STC. (ii) an enlargement that maps...

      

In the figure below, PQRSTU is a regular hexagon.
pic15820191445.png
(a) Describe fully:
(i) a reflection that maps triangle SCR onto triangle STC.
(ii) an enlargement that maps triangle SCR on triangle PCU.
(iii) a rotation that maps triangle SCR to triangle TCU.
(b) The triangle PQC is reflected on the line RU. The image of triangle PQC under the reflection is then
rotated through an angle -120º about point C. Determine the images of P and Q:
(i) under the reflection.
(ii) after the two successive transformations.

  

Answers


sharon
(a) (i) A reflection that maps triangle SCR onto triangle STC is a reflection on the line PS.
(ii) An enlargement that maps triangle SCR onto triangle PCU is an enlargement centre C and scale factor 1.
(iii) A rotation that maps triangle SCR to triangle TCU is a rotation +120º and centre C.
(b) (i) Images of P is T and image of Q is S.
(ii) Image of P is R and images of Q is Q.
sharon kalunda answered the question on August 15, 2019 at 11:49


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